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Mathematics

1 answer:

Butoxors [25]2 years ago

5 0

Answer:

Step-by-step explanation:

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The point (-3,1) is moved 3 places in the negative y direction and 2 places in the positive x direction.

luda_lava [24]

Answer:

(-6, 4)

Step-by-step explanation:

Given the coordinate points (-3,1). If The point (-3,1) is moved 3 places in the negative y direction and 2 places in the positive x direction the required coordinate will be expressed ss;

X' = (-3-3, 1+3)

X = (-6, 4)

Hence the resulting coordinate will be at:(-6, 4)

6 0

2 years ago

If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x->0)[2 f(x) - g(x)] = -3

ladessa [460]

We have by distributivity of limits over sums, and continuity of $f(x)$ and $g(x)$ , that

$\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)$

Given $f(0)=2$ , it follows that

$2^2 - g(0) = -3 \implies g(0) = \boxed{7}$

5 0

1 year ago

Calculate the area of a circle with a diameter of 6cm

USPshnik [31]

Formula for area of circle:
A=πr²
Here diameter, d= 6 cm
Radius, r= d/2 = 6/2 = 3 cm
Put values
A= 3.14 x 3²
A=3.14 x 9
A=28.26 cm²

Answer: 28.26 cm²

7 0

2 years ago

Read 2 more answers

Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?

Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time